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10020002232 = 2331727120347
BaseRepresentation
bin10010101010011110…
…10001100110111000
3221212022101212000210
421111033101212320
5131010110032412
64334135231120
7503206420332
oct112517214670
927768355023
1010020002232
114282036a89
121b378184a0
13c38ba1906
146b0a8c452
153d9a0e83c
hex2553d19b8

10020002232 has 96 divisors (see below), whose sum is σ = 26986331520. Its totient is φ = 3099102720.

The previous prime is 10020002221. The next prime is 10020002297. The reversal of 10020002232 is 23220002001.

10020002232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482283 + ... + 502629.

It is an arithmetic number, because the mean of its divisors is an integer number (281107620).

Almost surely, 210020002232 is an apocalyptic number.

10020002232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493165760).

10020002232 is an abundant number, since it is smaller than the sum of its proper divisors (16966329288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10020002232 is a wasteful number, since it uses less digits than its factorization.

10020002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20461 (or 20440 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10020002232 its reverse (23220002001), we get a palindrome (33240004233).

The spelling of 10020002232 in words is "ten billion, twenty million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 289 408 426 568 578 852 867 1156 1207 1704 1734 2312 2414 3468 3621 4828 6936 7242 9656 14484 20347 20519 28968 40694 41038 61041 61557 81388 82076 122082 123114 162776 164152 244164 246228 345899 488328 492456 691798 1037697 1383596 1444637 2075394 2767192 2889274 4150788 4333911 5778548 5880283 8301576 8667822 11557096 11760566 17335644 17640849 23521132 24558829 34671288 35281698 47042264 49117658 70563396 73676487 98235316 141126792 147352974 196470632 294705948 417500093 589411896 835000186 1252500279 1670000372 2505000558 3340000744 5010001116 10020002232